Coterminal and Reference Angles in Radians

Negative angles are measured in which direction from standard position?

• Clockwise

• Counterclockwise

Tags

CCSS.HSF.TF.A.2

Which angle is COTERMINAL to  $\frac{\pi}{4}$  ?

•  $\frac{7\pi}{4}$  

•  $\frac{3\pi}{4}$  

•  $-\frac{5\pi}{4}$  

•  $\frac{9\pi}{4}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Which of the following angles are coterminal to the angle $-\frac{5\pi}{3}$  ? Select all that apply.

•  $\frac{\pi}{3}$  

•  $-\frac{11\pi}{3}$  

•  $\frac{7\pi}{3}$  

•  $-\frac{15\pi}{3}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Which of the following angles are coterminal to the angle $-\frac{3\pi}{4}$  ? Select all that apply.

•  $\frac{7\pi}{4}$  

•  $\frac{\pi}{4}$  

•  $-\frac{7\pi}{4}$  

•  $-\frac{11\pi}{4}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Find an angle coterminal with an angle measuring 17π / 4 radians.

• π ∕ 3
• 5π ∕ 4
• π ∕ 4
• 13π ∕ 4

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

Are  $-\frac{3\pi}{4}$  and  $\frac{5\pi}{4}$  coterminal angles?

• Yes

• No

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

Are $\frac{15\pi}{4}$  and  $-\frac{3\pi}{4}$  coterminal angles?

• Yes

• No

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

To find an angle that is coterminal to a given angle, add or subtract _______________ and the given angle.

• $\pi$

• $\frac{\pi}{2}$

• $3\pi$

• $2\pi$

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSG.C.B.5

Positive angles are measured in which direction from standard position?

• Clockwise
• Counterclockwise

Tags

CCSS.HSF.TF.A.2

What is the reference angle for 5pi/4?

• pi/4
• 7pi/4
• pi/6
• pi/3

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3